C. Kalyanaraman et al., Isotopic branching in (He, HD+) collisions: A time-dependent quantum mechanical study in three dimensions, J CHEM PHYS, 111(24), 1999, pp. 10910-10918
A time-dependent quantum mechanical approach has been used to investigate t
he reaction He+HD+(v=0-4,j=0-3)--> HeH++D; HeD++H in three dimensions for t
otal angular momentum J=0. The vib-rotation (v,j) state-selected reaction p
robability (P-v,j(R)) is shown to increase with v over the collision energy
(E-trans) range (0.95-2.25 eV) investigated for both the exchange channels
, in accord with the experimental results. The isotopic branching ratio Gam
ma=P-R(HeH+)/P-R(HeD+) generally remains less than unity for different v st
ates at different E-trans in agreement with experiment. But at E-trans=1.0
eV, for v=4, Gamma obtained from our calculations for j=0 of HD+ is similar
to 0.8, in excellent agreement with the earlier quasiclassical trajectory
calculations, but a factor of 2 less than that obtained from experiment. Th
is difference could arise from the inclusion of nonzero j states in the exp
erimental study, as P-v,j(R) is found to be j dependent for both the channe
ls. While P-v,j(R) (HeH+) decreases initially with increase in j from 0 to
2 and then increases when j is increased further to 3, P-v,j(R) (HeD+) reve
als an unusual j dependence; it is larger for even j states of HD+ than for
odd j. As a result, Gamma is strongly dependent on j, in contrast to the m
arginal dependence shown by the earlier quasiclassical trajectory calculati
ons. (C) 1999 American Institute of Physics. [S0021- 9606(99)00547-4].